If the discriminant is a positive number, there will be 2 possible solutions. If you replace the entire section of b²-4ac with 16, you will see that the equation becomes; (-b+-√16)/2a --> leading to an answer with the + and another with the -.
If the discriminant is 0, there will be 1 possible solution, (again replace this into the discriminant value) (-b)/2a ---> this formula is used to also find the x coordinates of a vertex, fyi.
If the discriminant is a negative number, there will be no solution (since squareroot of a negative number is not possible)
Hope I helped :)
Answer:
B.
Step-by-step explanation:
First let's define the different bias that exist:
Sampling bias: This bias occurs when the method used to get the sample favours one part of the population leaving another part of the population excluded.
Non response bias: This bias occurs when the people who do not answer the survey have different opinions from the ones who do.
Response bias: This bias occurs when the answer given to the survey does not reflect the true feelings of the person who responds.
Now back to the problem:
- The researcher sent the survey to 2000 randomly selected e-mail addresses, she expects to get 20% of responses, meaning 400 people will answer the survey.
Given these conditions, we would expect the survey to be biased. We have approximately 1600 people who didn't answer the survey so it is possible that all these people who didn't answer have different opinions from the 400 who did (non response bias), given that the survey was done by email it could also happen that people do not tell the truth when asked about a topic (response bias), also, there would be sampling bias because the people who she selected have an email address so the people who don't use email get excluded from the survey (sampling bias)
Answer:
x > 0
Step-by-step explanation:
It shows on the number line.
Answer:
482 km
63.94 degrees
Step-by-step explanation:
to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.
Cosine rule states that
C = 
where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060
solving now, we have
C = 
C = ![\sqrt{250000 + 90000 - [215000 cos(60) }]](https://tex.z-dn.net/?f=%5Csqrt%7B250000%20%2B%2090000%20-%20%5B215000%20%20%20cos%2860%29%20%20%7D%5D)
C = ![\sqrt{340000 - [215000 * 0.5 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B215000%20%2A%200.5%20%20%7D%5D)
C = ![\sqrt{340000 - [107500 }]](https://tex.z-dn.net/?f=%5Csqrt%7B340000%20-%20%5B107500%20%20%7D%5D)
C =
C = 482 km
The bearing can be gotten by using the Sine Rule.
= 
sina/500 = sin60/482
482 sina = 500 sin60
sina = 
sina = 0.8983
a = sin^-1(0.8983)
a = 63.94 degrees